A NOTE ON THE SINGULARITY OF LCM MATRICES ON GCD - CLOSED SETS WITH 9 ELEMENTS
JOURNAL OF SCIENCE AND ARTS, sa.3, ss.413-422, 2017 (ESCI)
- Yayın Türü: Makale / Tam Makale
- Basım Tarihi: 2017
- Dergi Adı: JOURNAL OF SCIENCE AND ARTS
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
- Sayfa Sayıları: ss.413-422
- Gazi Üniversitesi Adresli: Evet
Özet
In the present paper, we obtain some classes of gcd - closed sets with 9 elements on which LCM matrices are singular by adding an element to a gcd - closed set with 8 elements on which the LCM matrix is also singular. Finally, examining these examples we present two new conjectures.